Complete the following:
Nonparametric method
Q1: The median annual income for college graduates with a bachelor's degree is $37,700(the New York Times Almanac, 2006) Data (in thousands of dollars) for a sample of college graduates with a bachelor's degree working in the Chicago area are shown. Use the sample data to test H?: median ≤37.7 and H??: median > 37.7 for the population f college graduates with a bachelor's degree working in the Chicago area. Use a .05 level of significance. What is conclusion?
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Income
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|
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47.8
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|
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47.2
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|
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55.5
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|
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41.2
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|
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21.3
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|
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42.4
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|
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51.9
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32.8
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30.2
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38.5
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41.7
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42.6
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127.8
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45.7
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42.4
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25.0
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25.3
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|
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24.4
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60.6
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31.1
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31.4
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105.3
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73.7
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37.7
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61.2
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43.2
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39.3
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69.0
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43.4
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|
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91.0
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56.9
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38.8
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25.2
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30.4
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|
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23.8
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36.2
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|
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65.0
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25.1
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34.9
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23.6
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55.2
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30.0
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68.4
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91.1
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34.1
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76.7
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38.0
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48.7
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37.7
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56.1
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Q2: The national Association of Home Builders provided data on the cost of the most popular home remodeling projects. Use the Mann-Whitney-Wilcoxon test to see whether it can be concluded that the cost of kitchen remodeling differs from the cost of master bedroom remodeling. Use a .05 of significance.
Kitchen Bedrooms
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25,200
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18,000
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17,400
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22,000
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22,800
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26,400
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21,900
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24,800
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19,700
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26,900
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23,000
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17,800
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19,700
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24,600
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16,900
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21,000
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21,800
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|
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23,600
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Q3: The following were collected for the Master Blend Coffee production process. The data show the filling weights based on samples of 3-pound cans of coffee. Use these data to construct the ? and R charts. What conclusions can be made about the quality of the production process?
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Sample
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Obs 1
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Obs 2
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Obs 3
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Obs 4
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Obs 5
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1
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3.05
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3.08
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3.07
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3.11
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3.11
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2
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3.13
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3.07
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3.05
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3.10
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3.10
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3
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3.06
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3.04
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3.12
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3.11
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3.10
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4
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3.09
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3.08
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3.09
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3.09
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3.07
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5
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3.10
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3.06
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3.06
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3.07
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3.08
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6
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3.08
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3.10
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3.13
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3.03
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3.06
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|
7
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3.06
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3.06
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3.08
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3.10
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3.08
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|
8
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3.11
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3.08
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3.07
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3.07
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3.07
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|
9
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3.09
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3.09
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3.08
|
3.07
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3.09
|
|
10
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3.06
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3.11
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3.07
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3.09
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3.07
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|
|
|
|
|
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